REYNOLDS ANALOGY BASED ON THE THEORY OF STOCHASTIC EQUATIONS AND EQUIVALENCE OF MEASURES

被引:8
作者
Dmitrenko, A. V. [1 ,2 ]
机构
[1] Natl Res Nucl Univ, MIFI Moscow Engn Phys Inst, 31 Kashirskoe Highway, Moscow 115409, Russia
[2] Univ Transport, MIIT Moscow Inst Transport Engineers, 9 Obraztsov Str, Moscow 127997, Russia
关键词
stochastic equations; equivalence of measures; Reynolds analogy; BOUNDARY-LAYER; HEAT-TRANSFER; TURBULENCE; FLOW; FIELDS; GAS;
D O I
10.1007/s10891-021-02296-8
中图分类号
O414.1 [热力学];
学科分类号
摘要
A new dependence has been obtained to calculate the Reynolds analogy in a nonisothermal turbulent flow in a circular tube. The formula for the Reynolds analogy was obtained from stochastic turbulence theory, which is based on stochastic differential equations of the laws of conservation of mass, momentum, and energy, and also on the regularities of equivalence of measures between deterministic and random motions. A comparison has been made of the calculation results for the classical formula and for the new formula for various Prandtl numbers.
引用
收藏
页码:186 / 193
页数:8
相关论文
共 56 条
[1]  
[Anonymous], 1975, TURBULENCE
[2]  
Davidson P. A., 2004, TURBULENCE
[3]   Calculation of pressure pulsations for a turbulent heterogeneous medium (vol 52, pg 384, 2007) [J].
Dmitrenko, A. V. .
DOKLADY PHYSICS, 2007, 52 (12) :708-708
[4]  
Dmitrenko A. V., 2020, Journal of Physics: Conference Series, V1705, DOI 10.1088/1742-6596/1705/1/012021
[5]  
Dmitrenko A. V., 2020, Journal of Physics: Conference Series, V1705, DOI 10.1088/1742-6596/1705/1/012015
[6]   Theoretical solutions for spectral function of the turbulent medium based on the stochastic equations and equivalence of measures [J].
Dmitrenko, A. V. .
CONTINUUM MECHANICS AND THERMODYNAMICS, 2021, 33 (03) :603-610
[7]   Formation of a Turbulence Spectrum in the Inertial Interval on the Basis of the Theory of Stochastic Equations and Equivalence of Measures [J].
Dmitrenko, A. V. .
JOURNAL OF ENGINEERING PHYSICS AND THERMOPHYSICS, 2020, 93 (01) :122-127
[8]  
Dmitrenko A. V., 2019, Journal of Physics: Conference Series, V1301, DOI 10.1088/1742-6596/1301/1/012006
[9]   Results of investigations of non-isothermal turbulent flows based on stochastic equations of the continuum and equivalence of measures [J].
Dmitrenko, A. V. .
11TH INTERNATIONAL CONFERENCE AEROPHYSICS AND PHYSICAL MECHANICS OF CLASSICAL AND QUANTUM SYSTEMS (APHM-2017), 2018, 1009
[10]   Determination of the coefficients of heat transfer and friction in supercritical-pressure nuclear reactors with account of the intensity and scale of flow turbulence on the basis of the theory of stochastic equations and equivalence of measures [J].
Dmitrenko A.V. .
Journal of Engineering Physics and Thermophysics, 2017, 90 (6) :1288-1294